{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "403e5be4-282e-42e8-bfc7-5f9449d588c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import math\n",
    "\n",
    "mu1 = -2\n",
    "mu2 = 2\n",
    "variance1 = 0.49\n",
    "variance2 = 4\n",
    "sigma1 = math.sqrt(variance1)\n",
    "sigma2 = math.sqrt(variance2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "96bcb911-f7dd-4eac-a60d-87008e6d9b69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(mu1 - 3*sigma2, mu2 + 3*sigma2, 1000)\n",
    "y1 = stats.norm.pdf(x, mu1, sigma1)\n",
    "y2 = stats.norm.pdf(x, mu2, sigma1)\n",
    "y3 = stats.norm.pdf(x, mu1, sigma2)\n",
    "y4 = stats.norm.pdf(x, mu2, sigma2)\n",
    "\n",
    "\n",
    "plt.figure(figsize=[16, 5])\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(x, y1)\n",
    "plt.plot(x, y2)\n",
    "\n",
    "plt.vlines(mu1, 0, np.max(y1), color='black', linestyle='--')\n",
    "plt.vlines(mu2, 0, np.max(y2), color='black', linestyle='--')\n",
    "plt.hlines(0.3, xmin=-2, xmax=2, color='red')\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(x, y3)\n",
    "plt.plot(x, y4)\n",
    "\n",
    "plt.vlines(mu1, 0, np.max(y3), color='black', linestyle='--')\n",
    "plt.vlines(mu2, 0, np.max(y4), color='black', linestyle='--')\n",
    "plt.hlines(0.1, xmin=-2, xmax=2, color='red')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4eb479e-54c4-407a-a4ff-605a38bc00fd",
   "metadata": {},
   "source": [
    "$$H_{KL[(p(x|\\theta)||p(x|\\theta^\\prime)]}$$"
   ]
  }
 ],
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